Multi-symplectic fourier pseudospectral method for the nonlinear Schrödinger equation

Electronic Transactions on Numerical Analysis

Volumn 12, Issue , 2001, Pages 193-204

  Chen, Jing B O ^a   Qin, Meng Jhao ^a  

^a INSTITUTE OF COMPUTATIONAL MATHEMATICS AND SCIENTIFIC ENGINEERING COMPUTING   (China)

Author keywords

Fourier pseudospectral method; Multi symplectic; Nonlinear schr dinger equation

Indexed keywords

EID: 0005727359     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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4. T. J. BRIDGES AND S. REICH, Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations. Technical Report.
5. C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, AND T. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, New York, 1988.
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7. D. GOTTLIB, M. Y. HUSSAINI, AND S. A. ORSZAG, Theory and applications of spectral methods, in Spectral Methods for Partial Differential Equations, R. G. Voigt, D. Gottlieb, and M. Y Hussaini, eds., SIAM-CBMS, Philadelphia, 1984, pp. 1-54.
8. S. REICH, Muti-Symplecuc Runge-Kutta Collocation Methods for Hamiltonian Wave Equations, J. Comput. Phys., 157 (2000), pp. 473-499.